caa a22 4500 467989559 CHVBK 20180323112541.0 cr unu---uuuuu 170328e19900601xx s 000 0 eng 10.1007/BF01302778 doi (NATIONALLICENCE)springer-10.1007/BF01302778 Disney Shaun School of Mathematics, University of New South Wales, 2033, Sydney, NSW, Australia aut Error bounds for rank 1 lattice quadrature rules modulo composites [Elektronische Daten] [Shaun Disney] Improved estimates are established regarding the accuracy which can be achieved by a suitable choice of generator in a single-generator lattice quadrature rule (as used in the "method of good lattice points”) in the general case wherem, the number of quadrature points, is not necessarily prime. The result obtained for the general case is asymptotically the same as the best currently-known result for the prime case. However, it is also shown that when these rules are applied to some customary test functions the mean error (over different rules with the same number of points) can be arbitrarily large compared to the corresponding mean value for rules with a comparable but prime value ofm. These mean values are of interest in relation to computerised searches for good generators. Springer-Verlag, 1990 Monatshefte für Mathematik Springer-Verlag 110/2(1990-06-01), 89-100 0026-9255 110:2<89 1990 110 605 https://doi.org/10.1007/BF01302778 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01302778 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Disney Shaun School of Mathematics, University of New South Wales, 2033, Sydney, NSW, Australia aut NATIONALLICENCE 773 0- Monatshefte für Mathematik Springer-Verlag 110/2(1990-06-01), 89-100 0026-9255 110:2<89 1990 110 605 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer